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Finding the Third Proportional to 147,468 and 222,411

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Solution

The third proportional to 147,468 and 222,411 is: 335,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,468 : 222,411 = 222,411 : x
  2. Step 2: Convert to fraction form
    147,468/222,411 = 222,411/x
  3. Step 3: Cross multiply
    147,468x = 222,411 × 222,411
  4. Step 4: Simplify right side
    147,468x = 49,466,652,921
  5. Step 5: Solve for x
    x = 49,466,652,921/147,468
  6. Step 6: Final answer
    x = 335,439.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.